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Finding the Fourth Proportional to 316.00, 436.07 and 217.85

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Solution

The fourth proportional to 316.00, 436.07 and 217.85 is: 300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.00 : 436.07 = 217.85 : x
  2. Step 2: Convert to fraction form
    316.00/436.07 = 217.85/x
  3. Step 3: Cross multiply
    316.00x = 436.07 × 217.85
  4. Step 4: Simplify right side
    316.00x = 94,996.76
  5. Step 5: Solve for x
    x = 94,996.76/316.00
  6. Step 6: Final answer
    x = 300.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.